10209
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 3903
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6560
- Möbius Function
- -1
- Radical
- 10209
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(exp(12/17)*n!).at n=6A030888
- Numbers k such that k | 6^k + 5^k + 4^k + 3^k + 2^k + 1^k.at n=42A056745
- a(n) = min( x : x^3 + n^3 == 0 mod (x+n-1) ).at n=58A066486
- Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.at n=14A085546
- Partial sums of A138202.at n=18A164940
- The sum of the elements within a jump in a Sieve of Eratosthenes table.at n=22A179545
- Three times second hexagonal numbers: 3*n*(2*n+1).at n=41A195319
- Number of fixed polykites with n cells.at n=7A196992
- Number of perfect squared squares of order n up to symmetries of the square.at n=28A217156
- Partial sums of A255283.at n=38A255428
- Numbers k such that k = Sum_{j=1..i} (j^k mod k) for some i>=1.at n=50A281089
- Numbers k such that 7*10^k - 89 is prime.at n=21A281828
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 573", based on the 5-celled von Neumann neighborhood.at n=13A283081
- Numbers equal to the sum of three triangular numbers in arithmetic progression.at n=43A292309
- Numbers with five neighboring primes on the hexagonal spiral board of odd numbers.at n=20A345654
- a(n) = 12*n^2 + 4*n + 1.at n=29A381390